Atkin-Lehner |
2- 3+ 5- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
116820c |
Isogeny class |
Conductor |
116820 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
-2043882720000 = -1 · 28 · 39 · 54 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ -5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-161352,24946596] |
[a1,a2,a3,a4,a6] |
Generators |
[232:10:1] [156:1890:1] |
Generators of the group modulo torsion |
j |
-92196729004032/405625 |
j-invariant |
L |
13.135737321983 |
L(r)(E,1)/r! |
Ω |
0.72949258598903 |
Real period |
R |
0.75027820560306 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116820b1 |
Quadratic twists by: -3 |